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21000120011112 = 233112412831166311
BaseRepresentation
bin1001100011001011110001…
…01100011000100101101000
32202100120222110201010102210
410301211320230120211220
510223031221210323422
6112355153312525120
74265131356606354
oct461457054304550
982316873633383
1021000120011112
116767112302070
122431b698507a0
13b943c23ab568
145285a85c4464
152663dbe0610c
hex131978b18968

21000120011112 has 128 divisors (see below), whose sum is σ = 57713969617920. Its totient is φ = 6314868864000.

The previous prime is 21000120011083. The next prime is 21000120011113. The reversal of 21000120011112 is 21111002100012.

It is a super-2 number, since 2×210001200111122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21000120011113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17422437 + ... + 18588747.

It is an arithmetic number, because the mean of its divisors is an integer number (450890387640).

Almost surely, 221000120011112 is an apocalyptic number.

21000120011112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000120011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28856984808960).

21000120011112 is an abundant number, since it is smaller than the sum of its proper divisors (36713849606808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21000120011112 is a wasteful number, since it uses less digits than its factorization.

21000120011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166855 (or 1166851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21000120011112 its reverse (21111002100012), we get a palindrome (42111122111124).

The spelling of 21000120011112 in words is "twenty-one trillion, one hundred twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 283 482 566 723 849 964 1132 1446 1698 1928 2264 2651 2892 3113 3396 5302 5784 6226 6792 7953 9339 10604 12452 15906 18678 21208 24904 31812 37356 63624 68203 74712 136406 204609 272812 409218 545624 750233 818436 1166311 1500466 1636872 2250699 2332622 3000932 3498933 4501398 4665244 6001864 6997866 9002796 9330488 12829421 13995732 18005592 25658842 27991464 38488263 51317684 76976526 102635368 153953052 281080951 307906104 330066013 562161902 660132026 843242853 990198039 1124323804 1320264052 1686485706 1980396078 2248647608 2640528104 3091890461 3372971412 3630726143 3960792156 6183780922 6745942824 7261452286 7921584312 9275671383 10892178429 12367561844 14522904572 18551342766 21784356858 24735123688 29045809144 37102685532 43568713716 74205371064 79545909133 87137427432 159091818266 238637727399 318183636532 477275454798 636367273064 875005000463 954550909596 1750010000926 1909101819192 2625015001389 3500020001852 5250030002778 7000040003704 10500060005556 21000120011112